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3 years ago

I need help with this please!!

Mathematics

2 answers:

nekit [7.7K]3 years ago

8 0

Answer:

A & C

Step-by-step explanation:

A) 8(3j-2)

= 24j-16

B) 6(4j-2j)

= 24j -12 j (not equal)

C) 4 (6j-4)

24j -16

D) 2(12-8)

24-16 (not equal)

Therefore only A and C are equivalent to 24j-16

Answered by Gauthmath

topjm [15]3 years ago

3 0

Answer:

8(3j -2)

4(6j -4)

Step-by-step explanation:

24j - 16

Rewriting

8*3*j - 8*2

Factor out the greatest common factor

8(3j -2)

We can also factor out 4

4*6j - 4*4

4(6j -4)

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Y=x.arctan(x)^1/2. find dy/dx. pls show steps

Whitepunk [10]

$y=x(\arctan x)^{1/2}$

Use the product rule first:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dx}{\mathrm dx}(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+x\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}$

Use the chain rule to compute the derivative of $(\arctan x)^{1/2}$ . Let $z=(\arctan x)^{1/2}$ and take $u=\arctan x$ , so that by the chain rule

$\dfrac{\mathrm dz}{\mathrm dx}=\dfrac{\mathrm dz}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm dz}{\mathrm du}=\dfrac{\mathrm du^{1/2}}{\mathrm du}=\dfrac12u^{-1/2}$

$\dfrac{\mathrm du}{\mathrm dx}=\dfrac{\mathrm d\arctan x}{\mathrm dx}=\dfrac1{1+x^2}$

$\implies\dfrac{\mathrm d(\arctan x)^{1/2}}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}(1+x^2)}$

So we have

$\dfrac{\mathrm dy}{\mathrm dx}=(\arctan x)^{1/2}+\dfrac x{2(\arctan x)^{1/2}(1+x^2)}$

You can rewrite this a bit by factoring $(\arctan x)^{-1/2}$ , just to make it look neater:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2(\arctan x)^{1/2}}\left(2\arctan x+\dfrac x{1+x^2}\right)$

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3 years ago

A business owner buys two new office buildings. She pays $635, 895 for one building. She pays $643, 225 for the other building.

Natali5045456 [20]

Part A
From the two buildings she rents, the building costing $643, 225 price is greater than the other that costs $635, 895

Part B
Round to the nearest ten thousand:
$635, 895 ~ $640, 000
this is because 5,895 rounds to 6,000, and then this rounds to 10,000

$643, 225 ~ $640, 000
this is because 43, 225 rounds to 40,000 the nearest ten thousand

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4 years ago

The bible predicted many things about: answers: man's sin, God the Father, Christ.

Anettt [7]

Answer:

of what's right and wrong

Step-by-step explanation:

if you don't follow the Bible, when your a Christian, some say you go to the underworld

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3 years ago

Why is 4r + 5 = 3 not an algebraic expression?

saw5 [17]

4r + 5 = 3 is not an algebraic expression because expressions are basically equations but WITHOUT answers. In this equation, 3 is shown as the answer, which makes it an equation, not an expression.

Hope this helps! Please correct me if I'm wrong! :D

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(1 point) Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. Suppose

Kamila [148]

Here L = W, but H can be different.

The sum L+H+W must be less than or equal to 192 cm.

We can solve L + H + W = 192 for H: H = 192 - W - L. Remembering that W = L, the formula for H becomes 192 - 2W.

The formula for volume would be V = L*W*H.

This becomes V = W*W*H, or V = W^2*(192-2W)

Multiplying this out: V = w^2*192 - 2W^3

Two ways of determining W:

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2) Differentiate V with respect to W and set the result equal to zero:

384W - 6W^2 = 0. Solving for W: W(384 - 6W) = 0.

W = 0 is trivial, so just solve 384 - 6W = 0 for W: 6W = 384, and W = 64.

The width is 64 cm, the length is 64 cm also, and the height is (192-2W) cm, or 64 cm.

These dimensions produce the max volume.

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